Home
Class 10
MATHS
If tan(A-B)=1/(sqrt(3)) and tan(A+B)=sqr...

If `tan(A-B)=1/(sqrt(3))` and `tan(A+B)=sqrt(3)` , `0^@ < A+B lt= 90^@`, `A > B` find `A` and `B` .

Text Solution

AI Generated Solution

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • TRIGONOMETRIC IDENTITIES

    RD SHARMA ENGLISH|Exercise All Questions|254 Videos

Similar Questions

Explore conceptually related problems

If tan(A+B)=sqrt(3) and t a n(A- B)=1/(sqrt(3)); 0^@ le A + B le 90^@ and A le B , find A and B.

if tan (A + B) = sqrt(3) and tan (A - B) = 1/ sqrt(3) , 0 (lt) A + B (le) 90^@, A (gt) B , then find the values of A and B.

If tan (A-B) = (1)/(sqrt3) and sin A = (1)/(sqrt2) find the value of B.

If tan(A+B)=sqrt(3) and sqrt(3)tan(A-B)=1 , find the angles A and B.

If sin (A+B)=1 and tan (A-B)= (1)/(sqrt(3)) then A-B=?

If tan(A+B)=sqrt(3) and sqrt(3)tan(A-B)=1 , find the angles A and B,where A and B are Acute Angles.

if tan ( A + B ) = sqrt 3 and tan ( A - B ) = ( 1)/(sqrt 3 ) : 0 ^@ lt A + B le 90^@ , A gt B find A and B

If sin(A-B)=1/(sqrt(10 )), cos(A+B)=2/(sqrt(29)) , find the value of tan2A where A and B lie between 0 and pi/4

If tan(A+B)=sqrt(3)andsin(A-B)=(1)/(2) ,then find the value of tan (2A-3B) .

If A= tan^-1((xsqrt3)/(2k-x)) and B= tan^-1((2x-k)/(ksqrt3)) then find the value of A-B (A) 0^@ (B) 30^@ (C) 60^@ (D) 45^@